Physics-Acceleration due to Gravity

NEET Physics Acceleration due to Gravity MCQ Question

Type: MCQ-numerical-Hard-Class 11

If the acceleration due to gravity at a depth d from the Earth's surface is g(d), which of the following expressions correctly represents this value?

A

g(d) = g(1 - d/R_E)

B

g(d) = g(1 - 2d/R_E)

C

g(d) = g(1 - d^2/R_E^2)

D

g(d) = g(1 + d/R_E)

Correct Answer

Option A

Detailed Explanation

The acceleration due to gravity at a depth d is given by g(d) = g(1 - d/R_E), where g is the acceleration due to gravity on the surface and R_E is the Earth's radius. This decrease is due to the reduced mass contributing to gravity at that depth.

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